Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

B-spline representation of optical surfaces and its accuracy in a ray trace algorithm

Not Accessible

Your library or personal account may give you access

Abstract

We introduce a representation of aspheric surfaces that is based on a B-spline quasi-interpolation scheme. The scheme is implemented in a ray trace algorithm, and bounds on the approximation error are established. Examples for the reproduction of aspheric surfaces in polynomial description and the ray tracing accuracy are presented. The proposed approach allows the specification of local and global structures and the efficient treatment of measured surface data. The representation gives access to a wavelet analysis, offering extended possibilities for the tolerance analysis of optical systems containing aspheric elements.

© 2011 Optical Society of America

Full Article  |  PDF Article
More Like This
Algorithm for designing free-form imaging optics with nonrational B-spline surfaces

Rengmao Wu, José Sasián, and Rongguang Liang
Appl. Opt. 56(9) 2517-2522 (2017)

Spline Functions: an Alternative Representation of Aspheric Surfaces

A. K. Rigler and T. P. Vogl
Appl. Opt. 10(7) 1648-1651 (1971)

Ray-tracing simulation method using piecewise quadratic interpolant for aspheric optical systems

Shin-ya Morita, Yohei Nishidate, Takashi Nagata, Yutaka Yamagata, and Cristian Teodosiu
Appl. Opt. 49(18) 3442-3451 (2010)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (24)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved